Simple Harmonic Oscillator Canonical Ensemble Model for Tunneling Radiation of Black Hole
نویسندگان
چکیده
A simple harmonic oscillator canonical ensemble model for Schwarzchild black hole quantum tunneling radiation is proposed in this paper. Firstly, the equivalence between canonical ensemble model and Parikh–Wilczek’s tunneling method is introduced. Then, radiated massless particles are considered as a collection of simple harmonic oscillators. Based on this model, we treat the black hole as a heat bath to derive the energy flux of the radiation. Finally, we apply the result to estimate the lifespan of a black hole.
منابع مشابه
Canonical quantum gravity and black-hole evaporation
Present approaches to quantum gravity remain so far inconclusive about the final stage of black-hole evaporation. The intention of this paper is to get a qualitative insight into how this stage may look like. For this purpose we address a simple model of two harmonic oscillators in the formalism of quantum geometrodynamics. One oscillator mimics the black hole state and is therefore attributed ...
متن کاملA pr 2 00 1 THERMODYNAMICS OF COHERENT STATES AND BLACK HOLE ENTROPY
Mean values of any observable variable are always calculated in a coherent state as in a mixed state because the coherent state is an eigenstate of non-Hermitian operator. Thus, we propose the concept of a coherent ensemble closely resemble the canonical ensemble. The entropy and temperature are naturally defined for the coherent ensemble. As an example, entropy and temperature are evaluated fo...
متن کاملEvaporation of Three Dimensional Black Hole in Quantum Gravity
We discuss an evaporation of (2+1)-dimensional black hole by using quantum gravity holding in the vicinity of the black hole horizon. It is shown that the black hole evaporates at a definite rate by emitting matters through the quantum tunneling effect. A relation of the present formalism to the black hole entropy is briefly commented. † E-mail address: [email protected] The canonical...
متن کاملSchwarzschild black hole as a grand canonical ensemble
For long black holes have been considered as endowed with a definite temperature. Yet when the Schwarzschild black hole is treated as a canonical ensemble three problems arise: incompatibility with the Hawking radiation, divergence of the partition function, and a formally negative mean-square fluctuation of the energy. We solve all three problems by considering the Schwarzschild black hole as ...
متن کاملEntropy using Path Integrals for Quantum Black Hole Models
Several eigenvalue equations that could describe quantum black holes have been proposed in the canonical quantum gravity approach. In this paper, we choose one of the simplest of these quantum equations to show how the usual Feynman’s path integral method can be applied to obtain the corresponding statistical properties. We get a logarithmic correction to the BekensteinHawking entropy as alread...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Entropy
دوره 18 شماره
صفحات -
تاریخ انتشار 2016